The Hoffenheim midfielder is finally on the road to recovery after he had been involved in a horrific car crash in October and subsequently put into a clinically induced coma
It was announced that the 22-year old is now responsive to familiar voices, approachable and has been communicating with his parents, Sonja and Dragan, but they have remained strict over the visitations to their son.
"As long as the parents say that it is not sensible to visit, we will respect that," Hoffenheim chairman Dietmar Hopp told Bild.
"The doctors have told us that is not suitable for us to visit at present and so have the parents, so we will accept their decision."
Whilst he was happy about his recent speed of recovery, Hopp admitted that it would be a while until his charge is fully stable, adding: "It is still a long way but we are hopeful."
Vukcevic has contributed to five games this season for his club, who sit in 14th position in the Bundesliga with 12 points from as many games.